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100211011020211 = 71343112261228127
BaseRepresentation
bin10110110010010000110001…
…101101101110010110110011
3111010211002010122202222220111
4112302100301231232112303
5101113324122310121321
6553044145233122151
730052002162211060
oct2662206155562663
9433732118688814
10100211011020211
1129a26284252883
12b2a56949b9357
1343bbb1c74a7a0
141aa634b431c67
15b8bab975d5e1
hex5b2431b6e5b3

100211011020211 has 32 divisors (see below), whose sum is σ = 126206600081408. Its totient is φ = 77442900474240.

The previous prime is 100211011020191. The next prime is 100211011020283. The reversal of 100211011020211 is 112020110112001.

It is a happy number.

It is not a de Polignac number, because 100211011020211 - 223 = 100211002631603 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100211011020191 and 100211011020200.

It is not an unprimeable number, because it can be changed into a prime (100211011020811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439163230 + ... + 439391356.

It is an arithmetic number, because the mean of its divisors is an integer number (3943956252544).

Almost surely, 2100211011020211 is an apocalyptic number.

100211011020211 is a deficient number, since it is larger than the sum of its proper divisors (25995589061197).

100211011020211 is a wasteful number, since it uses less digits than its factorization.

100211011020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340451.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100211011020211 its reverse (112020110112001), we get a palindrome (212231121132212).

The spelling of 100211011020211 in words is "one hundred trillion, two hundred eleven billion, eleven million, twenty thousand, two hundred eleven".

Divisors: 1 7 13 43 91 301 559 3913 112261 228127 785827 1459393 1596889 2965651 4827223 9809461 10215751 20759557 33790561 62753899 68666227 127522993 439277293 892660951 25609765147 179268356029 332926946911 1101219901321 2330488628377 7708539309247 14315858717173 100211011020211